Abstract
We produce the family of Calabi-Yau hypersurfaces $X_{n}$ of $(\mathbb P^{1})^{n+1}$ in higher dimension whose inertia group contains non commutative free groups. This is completely different from Takahashi's result [4] for Calabi-Yau hypersurfaces $M_{n}$ of $\mathbb P^{n+1}$.
Acknowledgment
This paper froms a part of the first author's master's thesis. The authors would like to express their sincere gratitude to their supervisor Professor Keiji Oguiso who suggested this subject and has given much encouragement and invaluable and helpful advices.
Citation
Masakatsu Hayashi. Taro Hayashi. "Calabi-Yau hypersurfaces in the direct product of $\mathbb P^{1}$ and inertia groups." Nihonkai Math. J. 29 (1) 45 - 51, 2018.
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